RESEARCH BASE

Search 3,721 documents across 34 fields — every claim tier-rated by evidence

3,721 Documents 34 Sections 43,625 Citations 34,852 Keywords Indexed 4 Evidence Tiers

3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.

202 results for "Indian mathematics" — page 1 of 11

V_1_15 Credible Mathematics & Information

V_1_15 — Indian Mathematics: Zero, Infinity, and the Decimal System

Indian mathematics represents one of the most profound and consequential mathematical traditions in human history — contributing foundational innovations that shaped the course of global mathematics, most notably the dec

Indian mathematics zero decimal Aryabhata Brahmagupta Bhaskara
V_1_19 Credible Mathematics & Information

V_1_19 — Non-Western Mathematical Traditions

The standard Eurocentric narrative of mathematics — from Greek geometry to the European Scientific Revolution — obscures the fact that many foundational mathematical innovations originated in India, China, the Islamic wo

indian-mathematics chinese-mathematics islamic-mathematics mayan-mathematics zero decimal-system
U_2_15 Credible Art, Music & Culture

U_2_15 — Art and Mathematics: Escher, Perspective, and Golden Ratio in Practice

The relationship between art and mathematics is one of the oldest and richest intersections in human intellectual history — from the geometric patterns of Islamic tile work and the proportional systems of ancient Greek s

art and mathematics Escher perspective golden ratio phi Fibonacci
W_3_15 Credible World Civilizations

W_3_15 — Satavahana and Deccan Kingdoms: South Indian Power and Trade

The Satavahana dynasty (c. 230 BCE–220 CE) and the broader network of Deccan kingdoms — including the Tamil-speaking Chola, Chera, and Pandya dynasties of the Sangam Age (c. 300 BCE–300 CE) — represent a crucial but ofte

Satavahana Deccan Andhra Amaravati Nagarjunakonda Roman trade
W_2_29 Credible World Civilizations

W_2_29 — Satavahana and Deccan Kingdoms: South Indian Power and Trade

The Satavahana dynasty (c. 230 BCE–220 CE) and the broader network of Deccan kingdoms — including the Tamil-speaking Chola, Chera, and Pandya dynasties of the Sangam Age (c. 300 BCE–300 CE) — represent a crucial but ofte

Satavahana Deccan Andhra Amaravati Nagarjunakonda Roman trade
ZH_5_22 Verified Archaeoastronomy

ZH_5_22 — Indian Astronomical Traditions: From Vedanga Jyotisha to the Kerala School

Indian astronomical traditions represent one of the longest continuous programs of celestial observation and mathematical modeling in human history, spanning from Vedic-period naked-eye observations (c. 1500–500 BCE) thr

Indian astronomy Vedanga Jyotisha Aryabhata Surya Siddhanta nakshatras Kerala school
ZH_2_02 Verified Archaeoastronomy

ZH_2_02 — Indian Astronomical Traditions: Aryabhata to Jantar Mantar

Indian astronomy (Jyotish Shastra) constitutes one of the most mathematically sophisticated astronomical traditions of the pre-modern world, spanning from the Vedic period (c. 1500–500 BCE) through the classical siddhānt

Indian astronomy Jyotish Aryabhata Brahmagupta Bhaskara Varahamihira
ZH_2_06 Verified Archaeoastronomy

ZH_2_06 — Astronomy in the Rig Veda and Early Indian Texts

The Rig Veda — the oldest of the four Vedas and among the oldest religious texts still in continuous use (~1500–1200 BCE, though dating is debated) — contains hymns, references, and cosmological imagery that reflect the

Rig Veda Vedic astronomy Jyotish nakshatra lunar mansions Surya Siddhanta
Credible

INTERDOC_34 — Mathematics, Nature, and the Universal Language

[KEY FINDING] Eugene Wigner's 1960 essay "The Unreasonable Effectiveness of Mathematics in the Natural Sciences" (Communications in Pure and Applied Mathematics) posed what remains one of the deepest unsolved problems in

mathematics nature Fibonacci fractals Mandelbrot Wigner unreasonable effectiveness
H_1_08 Verified Suppression & Thesis

H_1_08 — Destruction of Nalanda and Asian Knowledge Centers

The destruction of Nalanda — the world's first residential university, operating continuously for approximately 700 years (5th–12th centuries CE) in what is now Bihar, India — represents one of the most consequential epi

Nalanda Vikramashila Odantapuri Taxila Buddhist university monastery
P_4_19 Credible Philosophy & Meaning

P_4_19 — Indian Logic Traditions

The Indian traditions of logic and epistemology (pramāṇa-śāstra) represent one of the most sophisticated and independently developed systems of formal reasoning in human intellectual history, spanning over two millennia

Indian logic Nyaya pramana anumana inference Dignaga
P_5_01 Credible Philosophy & Meaning

P_5_01 — Is Mathematics Discovered or Invented?

One of the oldest and most consequential questions in philosophy: Does mathematics exist independently of human minds (Platonism), or is it a human invention — a language we construct to describe patterns (formalism/cons

mathematical platonism formalism intuitionism Gödel Wigner unreasonable effectiveness
P_5_06 Verified Philosophy & Meaning

P_5_06 — Philosophy of Mathematics

The philosophy of mathematics investigates the nature of mathematical objects, the status of mathematical truth, and the relationship between mathematics and the physical world. The fundamental question is: Are mathemati

philosophy of mathematics mathematical realism Platonism mathematics nominalism formalism logicism
V_1_08 Verified Mathematics & Information

V_1_08 — Mathematical Puzzles & Recreational Mathematics

Mathematical puzzles — problems posed for amusement, education, or intellectual challenge — have served as engines of mathematical discovery for over 4,000 years. The Rhind Mathematical Papyrus (c. 1650 BCE, Egypt) conta

mathematical puzzles recreational mathematics Rhind Papyrus Archimedes cattle problem Fibonacci rabbits Tower of Hanoi
V_1_09 Verified Mathematics & Information

V_1_09 — Ancient Egyptian & Babylonian Mathematics

Ancient Egyptian and Babylonian mathematics — the two oldest documented mathematical traditions — represent fundamentally different approaches to mathematical thinking, both achieving remarkable sophistication millennia

Egyptian mathematics Babylonian mathematics Rhind Papyrus Moscow Papyrus Plimpton 322 cuneiform
V_1_10 Verified Mathematics & Information

V_1_10 — Ancient Greek Mathematics

Ancient Greek mathematics (c. 600 BCE – 500 CE) transformed mathematics from a collection of empirical recipes into a deductive science built on axioms, definitions, and rigorous proof. Thales of Miletus (c. 624–546 BCE)

Greek mathematics Euclid Elements Pythagoras Archimedes Thales
V_1_13 Verified Mathematics & Information

V_1_13 — Women in Mathematics History

Women have made profound contributions to mathematics throughout history despite systematic exclusion from universities, academies, and professional recognition. Hypatia of Alexandria (c. 350–415 CE), the first well-docu

women mathematics Hypatia Emmy Noether Sophie Germain Ada Lovelace Sofia Kovalevskaya
V_1_11 Verified Mathematics & Information

V_1_11 — Islamic Golden Age Mathematics

Islamic Golden Age mathematics (c. 750–1500 CE) preserved, synthesized, and dramatically extended the mathematical traditions of Greece, India, Persia, and Mesopotamia, creating entirely new fields and transmitting the r

Islamic mathematics al-Khwarizmi algebra algorithm Omar Khayyam cubic equations
V_1_18 Credible Mathematics & Information

V_1_18 — Ethnomathematics: Mathematics Across Cultures

Ethnomathematics — the study of mathematical ideas, methods, and practices developed by cultural groups outside the Western academic tradition — was formalized as a field by Ubiratan D'Ambrosio (Brazil, 1985), who argued

ethnomathematics indigenous-mathematics quipu ishango-bone sand-drawing sona
V_1_06 Verified Mathematics & Information

V_1_06 — Mathematics of Music: Harmonic Ratios & Tuning Systems

The relationship between mathematics and music is among the oldest in intellectual history. Pythagoras (c. 570–495 BCE) is traditionally credited with discovering that consonant musical intervals correspond to simple num

music theory mathematics Pythagorean tuning harmonic ratios equal temperament Fourier analysis